Abstract
We revisit a CKS-apace from the viewpoint of standard setup of white noise calculus and prove a general characterization theorem for white noise operators from a CKS-space into another CKS-space. The usual characterizations so far obtained for white noise distributions, white noise test functions and white noise operators are all consequences of the unified characterization theorem.
| Original language | English |
|---|---|
| Pages (from-to) | 167-178 |
| Number of pages | 12 |
| Journal | Infinite Dimensional Analysis, Quantum Probability and Related Topics |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2003 Jun |
Keywords
- Fock space
- Gâteaux-entire function
- Operator symbol
- S-transform
- White noise theory
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Mathematical Physics
- Applied Mathematics